Considere uma matriz A quadrada de ordem n. Sejam também as seguintes matrizes: B1, que se obtém de A somando à linha i desta matriz uma constante k; B2, que se obtém de A subtraindo à linha i desta matriz a mesma constante k. Mostre que: | A | = 1/2 ( | B 1 | + | B 2 | )

Successful implementation of a new system is based on three independent modules. module 1 works properly with probability 0.96. for modules 2 and 3, these probabilities equal 0.95 and 0.90. compute the probability that at least one of these three modules fails to work properly.

The ratio of rock songs to dance songs on jonathan’s mp3 player is 5: 6. the total number of rock and dance songs jonathan has is between 101 120. how many rock songs does he have?

An octagonal prism has jow many lateral faces?